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144225045025140 = 223529618131340947
BaseRepresentation
bin100000110010110000000010…
…100100111001000101110100
3200220122210001100212000201110
4200302300002210321011310
5122400440343011301030
61230424023200555020
742243626031325212
oct4062600244710564
9626583040760643
10144225045025140
1141a55552a830a2
1214213943922a70
1362624954976b1
14278875aa55cb2
1511a19575341b0
hex832c02939174

144225045025140 has 96 divisors (see below), whose sum is σ = 417762372746880. Its totient is φ = 37133176260096.

The previous prime is 144225045025109. The next prime is 144225045025207. The reversal of 144225045025140 is 41520540522441.

It is a super-2 number, since 2×1442250450251402 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106884147 + ... + 108225093.

It is an arithmetic number, because the mean of its divisors is an integer number (4351691382780).

Almost surely, 2144225045025140 is an apocalyptic number.

144225045025140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144225045025140 is an abundant number, since it is smaller than the sum of its proper divisors (273537327721740).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

144225045025140 is a wasteful number, since it uses less digits than its factorization.

144225045025140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1402801 (or 1402799 counting only the distinct ones).

The product of its (nonzero) digits is 256000, while the sum is 39.

Adding to 144225045025140 its reverse (41520540522441), we get a palindrome (185745585547581).

The spelling of 144225045025140 in words is "one hundred forty-four trillion, two hundred twenty-five billion, forty-five million, twenty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 580 870 1740 61813 123626 185439 247252 309065 370878 618130 741756 927195 1236260 1340947 1792577 1854390 2681894 3585154 3708780 4022841 5363788 5377731 6704735 7170308 8045682 8962885 10755462 13409470 16091364 17925770 20114205 21510924 26818940 26888655 35851540 38887463 40228410 53777310 77774926 80456820 107554620 116662389 155549852 194437315 233324778 388874630 466649556 583311945 777749260 1166623890 2333247780 82887956911 165775913822 248663870733 331551827644 414439784555 497327741466 828879569110 994655482932 1243319353665 1657759138220 2403750750419 2486638707330 4807501500838 4973277414660 7211252251257 9615003001676 12018753752095 14422504502514 24037507504190 28845009005028 36056261256285 48075015008380 72112522512570 144225045025140